Photo: © 2009 AP via AAP/Carolyn Kaster

The coroner is investigating the two-year-old's death, which occurred a day after she and her twin sister were inoculated.

"It seems too much of a coincidence for a healthy girl, after having this vaccine, to just pass away. It is shocking," her father, David Epapara, told The Australian.

The vaccine has also been linked to an outbreak of fever, fits and vomiting in dozens of young children in Western Australia.

Australia's chief medical officer, Professor Jim Bishop, has suspended the vaccine for children under five while authorities investigate.

But he doubts the vaccine is to blame.

"The seasonal flu vaccines have been used for about 40 years with an incredibly good safety record," he told the ABC.

"[The addition of the swine flu vaccine] doesn't seem to be causing this problem. We haven't had reports at all of any spike in febrile convulsions."

Meanwhile, the Australian Medical Association is worried these cases may turn parents off getting children vaccinated for other diseases.